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Filtering by: mixed formulation Remove constraint mixed formulation Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics Subject Fluid dynamics -- Mathematical models Remove constraint Subject: Fluid dynamics -- Mathematical models

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  • Stochastic analysis of flow and transport in porous media

    Creator:
    Vasylkivska, Veronika S.
    Abstract:
    Random fields are frequently used in computational simulations of real-life processes. In particular, in this work they are used in modeling of flow and transport in porous media. Porous media as they arise in geological formations are intrinsically deterministic but there is significant uncertainty involved in determination of their properties...
    Resource Type:
    Dissertation
    Full Text:
    Governing equations for the deterministic formulation . . . . . . . . . . . . . . 117 7.1.1 Flow model

  • Hybrid Multiscale Methods with Applications to Semiconductors, Porous Media, and Materials Science

    Creator:
    Costa, Timothy B.
    Abstract:
    In this work we consider two multiscale applications with tremendous computational complexity at the lower scale. First, we examine a model for charge transport in semicon- ductor structures with heterojunction interfaces. Due to the complex physical phenomena at the interface, the model at the design scale is unable to adequately...
    Resource Type:
    Dissertation
    Full Text:
    . Before moving on to the mixed formulation appropriate for analyzing constrained problems, we present the